Abstract: We observe that the computational inefficiency of branched recursive functions was not appropriately covered in almost all textbooks for computer science courses in the first three years of ...

Abstract: Memoization is a computational technique for speeding up the complexity of computer algorithms. It stores the previously calculated results and invokes them later in the body of the ...

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The Golden Ratio (GR), often denoted by the Greek letter phi (Φ), is a mathematical ratio commonly found in nature, art, and architecture. This irrational number, approximately equal to 1.618, has ...

Tuples are an ordered sequences of items, just like lists. The main difference between tuples and lists is that tuples cannot be changed (immutable) unlike lists which can (mutable). Tuples are an ...

ABSTRACT: Recently the new unique classes of hyperbolic functions-hyperbolic Fibonacci functions based on the “golden ratio”, and hyperbolic Fibonacci l-functions based on the “metallic proportions” ...

ABSTRACT: Recently the new unique classes of hyperbolic functions-hyperbolic Fibonacci functions based on the “golden ratio”, and hyperbolic Fibonacci l-functions based on the “metallic proportions” ...

"Remember that a fibonacci sequence: 0,1,1,2,3,5,8,13,21,... starts off with a base case checking to see if n = 0 or 1, then it returns 1. \n", ...